20838960000 has 480 divisors, whose sum is σ = 75930631920. Its totient is φ = 5483520000.

The previous prime is 20838959987. The next prime is 20838960001. The reversal of 20838960000 is 6983802.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20838960001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74159860 + ... + 74160140.

Almost surely, 2^20838960000 is an apocalyptic number.

20838960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20838960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37965315960).

20838960000 is an abundant number, since it is smaller than the sum of its proper divisors (55091671920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20838960000 is a wasteful number, since it uses less digits than its factorization.

20838960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20838960000 in words is "twenty billion, eight hundred thirty-eight million, nine hundred sixty thousand".